In this paper two systems of AGM-like Paraconsistent Belief Revision are overviewed, both defined over Logics of Formal Inconsistency (LFIs) due to the possibility of defining a formal consistency operator within these logics. The AGM° system is strongly based on this operator and internalize the notion of formal consistency in the explicit constructions and postulates. Alternatively, the AGMp system uses the AGM-compliance of LFIs and thus assumes a wider notion of paraconsistency - not necessarily related to the (...) notion of formal consistency. (shrink)

Some of our beliefs are institutional; that is, beliefs whose content is to a large extent shaped by institutions, such as beliefs about intellectual property, trade policy, or traffic rules. In this chapter, we propose a novel account of institutional beliefs, as we call them. In particular, we argue that institutional beliefs are primarily attributable to social entities, such as groups or collectives, and only secondarily to individual agents. This is because institutional beliefs respond to specific problems that, in principle, (...) only collectives face. However, existing methodology in behavioural science primarily relies on eliciting beliefs through individual choice data, which presents challenges for empirically modelling our proposed concept of institutional beliefs. To address this challenge, we propose to speak of institutional beliefs attributable to individual agents as ‘qua beliefs’. That is, institutional beliefs attributable to individual agents acting qua members of certain institutionally shaped groups. Within this framework, individuals’ qua actions occur in a shared realm of problems that can only be addressed through collective efforts. The relationship between individuals and their groups can be rendered tractable under formalised conditions. Under these conditions, choice data collected from individuals need not obstruct the elicitation of institutional beliefs for empirical study at both the collective and the individual level. We refer to these conditions as “IS conditions”, which are developed based on the synthesis between an interpretationist understanding of mental states and standard models of revealed preference theory as used in experimental economics. For an illustration of how this approach can be operationalised experimentally, we direct our readers to chapter 10 of this volume, where an experimental study applied our account of institutional beliefs. (shrink)

"Paraconsistent Belief Revision Based on a Formal Consistency Operator" delves into Belief Revision—a significant area of research in Formal Philosophy that uses logic to model the ways in which human and artificial agents modify their beliefs in response to new information and examines how these changes can be considered rational. -/- Originally authored as a PhD thesis (previously published in Portuguese), this work provides a novel epistemic interpretation of Paraconsistency through Paraconsistent Belief Revision systems. It explores (...) the concept of paraconsistency from the standpoint of epistemic attitudes of acceptance and rejection. -/- This work challenges the traditional notion that accepting a new belief requires retracting its negation from the current epistemic state. The author contends that such reflexive retraction goes against the principle of informational economy, which is a crucial aspect of rationality in the context of belief change. Consequently, the phenomenon of paraconsistency is further examined from this fresh perspective of belief change, shedding light on the complexities of the Logics of Formal Inconsistency (LFIs). These LFIs provide the foundational logic, offering a comprehensive framework for understanding and implementing paraconsistent principles within belief revision systems. -/- This thesis was supervised by Marcelo Esteban Coniglio and co-supervised by Márcio Moretto Ribeiro, as part of Rafael Rodrigues Testa's doctoral studies at the University of Campinas (Unicamp), Brazil. (shrink)

The first aim of this paper is to prove a topological completeness theorem for a weak version of Stalnaker’s logic KB of knowledge and belief. The weak version of KB is characterized by the assumption that the axioms and rules of KB have to be satisfied with the exception of the axiom (NI) of negative introspection. The proof of a topological completeness theorem for weak KB is based on the fact that nuclei (as defined in the framework of point-free (...) topology) give rise to a profusion of topological belief operators that are compatible with the familiar topological knowledge operator. Thereby a canonical topological model for weak KB can be constructed. For this canonical model a truth lemma for the K and B holds such that a completeness theorem for KB can be proved in the familiar way. The second aim of this paper is to show that the topological interpretation of knowledge K comes along with a complete Heyting algebra of belief operators B that all fit the knowledge operator K in the sense that the pairs (K, B) satisfy all axioms of weak KB. This amounts to a pluralistic relation between knowledge and belief: Knowledge does not fully determine belief, rather it designs a conceptual space for belief operators where different (competing) belief operators coexist. (shrink)

Darwiche and Pearl’s seminal 1997 article outlined a number of baseline principles for a logic of iterated belief revision. These principles, the DP postulates, have been supplemented in a number of alternative ways. Most suggestions have resulted in a form of ‘reductionism’ that identifies belief states with orderings of worlds. However, this position has recently been criticised as being unacceptably strong. Other proposals, such as the popular principle (P), aka ‘Independence’, characteristic of ‘admissible’ operators, remain commendably more modest. (...) In this paper, we supplement the DP postulates and (P) with a number of novel conditions. While the DP postulates constrain the relation between a prior and a posterior conditional belief set, our new principles notably govern the relation between two posterior conditional belief sets obtained from a common prior by different revisions. We show that operators from the resulting family, which subsumes both lexicographic and restrained revision, can be represented as relating belief states associated with a ‘proper ordinal interval’ (POI) assignment, a structure more fine-grained than a simple ordering of worlds. We close the paper by noting that these operators satisfy iterated versions of many AGM era postulates, including Superexpansion, that are not sound for admissible operators in general. (shrink)

In this essay we focus on our vast web of beliefs that serves us as a rough and ready map of reality, generated more to give us comfort and confidence in an intimidating world than to be accurate. Maps of reality can never be accurate in any ultimate sense since reality itself is a convoluted entity that can only be accessed in never- ending layers. Our repertoire of beliefs, generated compulsively in the mind, span a huge spectrum in respect of (...) ties to affect and emotions on the one hand and of their credibility in depicting reality on the other. The interaction between our affect-based psychological needs, our need for having a sound comprehension of reality, and the infinitely tangled reality itself, leads to the generation of a large diversity of types of beliefs, where these get revised under the impact of reality by overcoming the restrain- ing effect of emotions in diverse ways and over diverse time scales—interestingly, the ‘reality’ includes the complex repertoire of affect and emotions itself that may, in cer- tain cases, generate the impact for our beliefs to change. Beliefs represented by small clusters in our belief network (see below) are commonly prone to frequent revision in a more or less random manner, though there are beliefs acquired in early life that are intransigent to change because of overriding ties to emotions. Beliefs represented by larger clusters are comparatively durable, and their revision has a systematic aspect to it because of a greater role of evidence-based factors—however,the evidence may, once again, be tied with emotions and beliefs oriented away from reason. Finally, there are prepotent beliefs that are resistant to change even over a lifetime. Often, these beliefs get revised only if we engage with our own selves, looking at conflicting forces within ourselves. In this context, we refer to narratives that are self-reinforcing and exercise almost a mesmerizing influence on us. In all this, there is a dual role of ‘rationality’ that needs being attended to in describing and explaining belief revision—rationality is not exclusively based on evidence and reason, but includes the implicit operation of affect and emotions too. (shrink)

People increasingly form beliefs based on information gained from automatically filtered Internet ‎sources such as search engines. However, the workings of such sources are often opaque, preventing ‎subjects from knowing whether the information provided is biased or incomplete. Users’ reliance on ‎Internet technologies whose modes of operation are concealed from them raises serious concerns about ‎the justificatory status of the beliefs they end up forming. Yet it is unclear how to address these concerns ‎within standard theories of knowledge and justification. (...) To shed light on the problem, we introduce a ‎novel conceptual framework that clarifies the relations between justified belief, epistemic responsibility, ‎action, and the technological resources available to a subject. We argue that justified belief is subject to ‎certain epistemic responsibilities that accompany the subject’s particular decision-taking circumstances, ‎and that one typical responsibility is to ascertain, so far as one can, whether the information upon which ‎the judgment will rest is biased or incomplete. What this responsibility comprises is partly determined by ‎the inquiry-enabling technologies available to the subject. We argue that a subject’s beliefs that are ‎formed based on Internet-filtered information are less justified than they would be if she either knew how ‎filtering worked or relied on additional sources, and that the subject may have the epistemic ‎responsibility to take measures to enhance the justificatory status of such beliefs.‎. (shrink)

Abstract. The aim of this paper is to show that the topological interpretation of knowledge as an interior kernel operator K of a topological space (X, OX) comes along with a partially ordered family of belief modalities B that fit K in the sense that the pairs (K, B) satisfy all axioms of Stalnaker’s KB logic of knowledge and belief with the exception of the contentious axiom of negative introspection (NI). The new belief modalities B introduced (...) in this paper are defined with the help of the (dense) nuclei of the Heyting algebra OX of open subsets on the topological space (X, OX). In this way, the natural context for the belief operators B related to topological knowledge operator K is shown to be the Heyting algebra NUC(OX) of the nuclei of the Heyting algebra OX.1 More precisely, the dense nuclei of NUC(OX) can be used to define a variety of bimodal logics of knowledge operators K and belief operators B. The operators K and B are compatible with each other in the sense that the pairs (K, B) satisfy all axioms of Stalnaker’s KB system with the exception of the axiom (NI). Therefore, for (X, OX), one obtains a bounded, partially ordered family of belief operators B defined by the elements of NUC(OX). (shrink)

C.S. Peirce's and Isaac Levi's accounts of the belief-doubt-belief model are discussed and evaluated. It is argued that the contemporary study of belief change has metamorphosed into a branch of philosophical logic where empirical considerations have become obsolete. A case is made for reformulations of belief change systems that do allow for empirical tests. Last, a belief change system is presented that (1) uses finite representations of information, (2) can adequately deal with inconsistencies, (3) has (...) finite operations of change, (4) can do without extra-logical elements, and (5) only licenses consistent beliefs. (shrink)

Two systems of belief change based on paraconsistent logics are introduced in this article by means of AGM-like postulates. The first one, AGMp, is defined over any paraconsistent logic which extends classical logic such that the law of excluded middle holds w.r.t. the paraconsistent negation. The second one, AGMo , is specifically designed for paraconsistent logics known as Logics of Formal Inconsistency (LFIs), which have a formal consistency operator that allows to recover all the classical inferences. Besides the (...) three usual operations over belief sets, namely expansion, contraction and revision (which is obtained from contraction by the Levi identity), the underlying paraconsistent logic allows us to define additional operations involving (non-explosive) contradictions. Thus, it is defined external revision (which is obtained from contraction by the reverse Levi identity), consolidation and semi-revision, all of them over belief sets. It is worth noting that the latter operations, introduced by S. Hansson, involve the temporary acceptance of contradictory beliefs, and so they were originally defined only for belief bases. Unlike to previous proposals in the literature, only defined for specific paraconsistent logics, the present approach can be applied to a general class of paraconsistent logics which are supraclassical, thus preserving the spirit of AGM. Moreover, representation theorems w.r.t. constructions based on selection functions are obtained for all the operations. (shrink)

I present a possible worlds semantics for a hyperintensional belief revision operator, which reduces the logical idealization of cognitive agents affecting similar operators in doxastic and epistemic logics, as well as in standard AGM belief revision theory. (Revised) belief states are not closed under classical logical consequence; revising by inconsistent information does not perforce lead to trivialization; and revision can be subject to ‘framing effects’: logically or necessarily equivalent contents can lead to different revisions. Such results (...) are obtained without resorting to non-classical logics, or to non-normal or impossible worlds semantics. The framework combines, instead, a standard semantics for propositional S5 with a simple mereology of contents. (shrink)

This essay argues that there are theoretical benefits to keeping distinct—more pervasively than the literature has done so far—the psychological states of imagining that p versus believing that in-the-story p, when it comes to cognition of fiction and other forms of narrative. Positing both in the minds of a story’s audience helps explain the full range of reactions characteristic of story consumption. This distinction also has interesting conceptual and explanatory dimensions that haven’t been carefully observed, and the two mental state (...) types make distinct contributions to generating emotional responses to stories. Finally, the differences between the mental states illuminate how a given story can be both shared with others and at the same time experienced as personal. (shrink)

This monograph is an in-depth and engaging discourse on the deeply cognitive roots of human scientific quest. The process of making scientific inferences is continuous with the day-to-day inferential activity of individuals, and is predominantly inductive in nature. Inductive inference, which is fallible, exploratory, and open-ended, is of essential relevance in our incessant efforts at making sense of a complex and uncertain world around us, and covers a vast range of cognitive activities, among which scientific exploration constitutes the pinnacle. Inductive (...) inference has a personal aspect to it, being rooted in the cognitive unconscious of individuals, which has recently been found to be of paramount importance in a wide range of complex cognitive processes. One other major aspect of the process of inference making, including the making of scientific inferences, is the role of a vast web of beliefs lodged in the human mind, as also of a huge repertoire of heuristics, that constitute an important component of ‘unconscious intelligence’. Finally, human cognitive activity is dependent in a large measure on emotions and affects, that operate mostly at an unconscious level. Of special importance in scientific inferential activity is the process of hypothesis making, which is examined in this book, along with the above aspects of inductive inference, at considerable depth. The book focuses on the inadequacy of the viewpoint of naive realism in understanding the contextual nature of scientific theories, where a cumulative progress towards an ultimate truth about Nature appears to be too simplistic a generalization. It poses a critique to the commonly perceived image of science which is seen as the last word in logic and objectivity, the latter in the double sense of being independent of individual psychological propensities and, at the same time, approaching a correct understanding of the workings of a mind-independent nature. Adopting the naturalist point of view, it examines the essential tension between the cognitive endeavours of individuals and scientific communities, immersed in belief systems and cultures, on the one hand, and the engagement with a mind-independent reality on the other. In the end, science emerges as an interpretation of nature, which is perceived by us only contextually, as successively emerging cross-sections of limited scope and extent. Successive waves of theory building in science appear as episodic and kaleidoscopic changes in perspective as certain in-built borders are crossed, rather than as a cumulative progress towards some ultimate truth. While written in an informal and conversational style, the book raises a number of deep and intriguing questions located at the interface of cognitive psychology and philosophy of science, meant for both the general lay reader and the specialist. Of particular interest is the way it explores the role of belief (aided by emotions and affects) in making the process of inductive inference possible since belief is a subtle though all-pervasive cognitive factor not adequately investigated in the current literature. (shrink)

Stubborn belief, like self-deception, is a species of motivated irrationality. The nature of stubborn belief, however, has not been investigated by philosophers, and it is something that poses a challenge to some prominent accounts of self-deception. In this paper, I argue that the case of stubborn belief constitutes a counterexample to Alfred Mele’s proposed set of sufficient conditions for self-deception, and I attempt to distinguish between the two. The recognition of this phenomenon should force an amendment in (...) this account, and should also make a Mele-style deflationist think more carefully about the kinds of motivational factors operating in self-deception. (shrink)

ABSTRACTWhat conditions must be satisfied if a group is to count as having a justified belief? Jennifer Lackey has recently argued that any adequate account of group justification must be sensitive to both the evidence actually possessed by enough of a group's operative members as well as the evidence those members should have possessed. I first draw attention to a range of objections to Lackey's specific view of group justification and a range of concrete case intuitions any plausible view (...) of group justification must explain. I then offer an alternative view of group justification where the basic idea is that group justification is a matter of groups responsibly responding to their total evidence. This view both avoids the problems facing Lackey's account and also explains the relevant concrete case intuitions. (shrink)

Monothematic delusions are bizarre beliefs which are often accompanied by highly anomalous experiences. For philosophers and psychologists attracted to the exploration of mental phenomena in an evolutionary framework, these beliefs represent—notwithstanding their rarity—a puzzle. A natural idea concerning the biology of belief is that our beliefs, in concert with relevant desires, help us to navigate our environments, and so, in broad terms, an evolutionary story of human belief formation will likely insist on a function of truth (true beliefs (...) tend to lead to successful action). Monothematic delusions are systematically false and often harmful to the proper functioning of the agent and the navigation of their environment. So what are we to say? A compelling thought is that delusions are _malfunctioning_ beliefs. Compelling though it may be, I argue against this view on the grounds that it does not pay due attention to the circumstances in which monothematic delusions are formed, and fails to establish _doxastic_ malfunction. I argue instead that monothematic delusions are _misfunctioning_ beliefs, that is, the result of mechanisms of belief formation operating in historically abnormal conditions. Monothematic delusions may take their place alongside a host of other strange beliefs formed in difficult epistemic conditions, but for which no underlying doxastic malfunction is in play. (shrink)

Currie’s (2010) argument that “i-desires” must be posited to explain our responses to fiction is critically discussed. It is argued that beliefs and desires featuring ‘in the fiction’ operators—and not sui generis imaginings (or "i-beliefs" or "i-desires")—are the crucial states involved in generating fiction-directed affect. A defense of the “Operator Claim” is mounted, according to which ‘in the fiction’ operators would be also be required within fiction-directed sui generis imaginings (or "i-beliefs" and "i-desires"), were there such. Once we appreciate (...) that even fiction-directed sui generis imaginings would need to incorporate ‘in the fiction’ operators, the main appeal of the idea that sui generis imaginings (or "i-beliefs" or "i-desires") are at work in fiction-appreciation dissipates. [This is Chapter 10 of Explaining Imagination (OUP, 2020)]. (shrink)

Today’s organizations are operating in a highly competitive and changing environment ‎that ‎pushes them to adapt their organizational structures to such ‎environments continuously. ‎However, the ethical behavior of employees is considered a bridge to the organization’s success ‎, driven by positive beliefs. This study's purpose of examining the psychological and ethical ‎beliefs' that influence employees' behavior at the workplace through a literature review. This ‎paper uses two terms: "ethical beliefs” and “psychological beliefs.” They both ‎are different but can significantly influence (...) the behavior of employees. Positive psychological and ‎strong ethical beliefs drive ethical behaviors at the workplace, such as honesty, accountability, ‎fairness, responsibility, trust, and integrity, which lead to better performance, a productive team, and ‎positivity in the workplace. It helps to develop a professional relationship with employees, ‎effective communication, accountability, and professionalism at work. While negative ‎psychological and weak ethical beliefs drive unethical behavior, including taking credit for other ‎hard work, abuse, verbal harassment, violence, lack of ambitions and professionalism, theft, ‎corrupt practices, etc. Finally, the arguments demonstrate that some ethical beliefs are perceived ‎to be more objective and appropriate than psychological beliefs. The ethical beliefs of workers ‎considered more formal than psychological beliefs. ‎. (shrink)

To take an empirical approach toward belief, I suggest thinking of belief as a putative kind within the domain of cognitive science. Adopting realist, naturalist, and non-reductionist account of kinds according to which kinds are clusters of causal properties, I argue that a plausible place to begin an inquiry on belief is the architecture of human reasoning. I offer the Sound Board Account of Human Reasoning (S-BAR) (in contrast to Dual Process Theory), according to which there is (...) one reasoning system, which can operate consciously or unconsciously, automatically or controlled, concretely or abstractly, and inductively or deductively. I then argue that, on this architecture, belief will have two properties: inferential promiscuity and settling state. In the final section, I argue that wishful thinkings are beliefs, acceptance and belief are distinct, and argue for a disambiguation of implicit measures. (shrink)

We consider a basic logic with two primitive uni-modal operators: one for certainty and the other for plausibility. The former is assumed to be a normal operator, while the latter is merely a classical operator. We then define belief, interpreted as “maximally plausible possibility”, in terms of these two notions: the agent believes \ if she cannot rule out \ ), she judges \ to be plausible and she does not judge \ to be plausible. We consider (...) four interaction properties between certainty and plausibility and study how these properties translate into properties of belief. We then prove that all the logics considered are minimal logics for the highlighted theorems. We also consider a number of possible interpretations of plausibility, identify the corresponding logics and show that some notions considered in the literature are special cases of our framework. (shrink)

Should we understand implicit attitudes on the model of belief? I argue that implicit attitudes are (probably) members of a different psychological kind altogether, because they seem to be insensitive to the logical form of an agent’s thoughts and perceptions. A state is sensitive to logical form only if it is sensitive to the logical constituents of the content of other states (e.g., operators like negation and conditional). I explain sensitivity to logical form and argue that it is a (...) necessary condition for belief. I appeal to two areas of research that seem to show that implicit attitudes fail spectacularly to satisfy this condition—although persistent gaps in the empirical literature leave matters inconclusive. I sketch an alternative account, according to which implicit attitudes are sensitive merely to spatiotemporal relations in thought and perception, i.e., the spatial and temporal orders in which people think, see, or hear things. (shrink)

The field of iterated belief change has focused mainly on revision, with the other main operator of AGM belief change theory, i.e. contraction, receiving relatively little attention. In this paper we extend the Harper Identity from single-step change to define iterated contraction in terms of iterated revision. Specifically, just as the Harper Identity provides a recipe for defining the belief set resulting from contracting A in terms of (i) the initial belief set and (ii) the (...) belief set resulting from revision by ¬A, we look at ways to define the plausibility ordering over worlds resulting from contracting A in terms of (iii) the initial plausibility ordering, and (iv) the plausibility ordering resulting from revision by ¬A. After noting that the most straightforward such extension leads to a trivialisation of the space of permissible orderings, we provide a family of operators for combining plausibility orderings that avoid such a result. These operators are characterised in our domain of interest by a pair of intuitively compelling properties, which turn out to enable the derivation of a number of iterated contraction postulates from postulates for iterated revision. We finish by observing that a salient member of this family allows for the derivation of counterparts for contraction of some well known iterated revision operators, as well as for defining new iterated contraction operators. (shrink)

In this paper we distinguish between various kinds of doxastic theories. One distinction is between informal and formal doxastic theories. AGM-type theories of belief change are of the former kind, while Hintikka’s logic of knowledge and belief is of the latter. Then we distinguish between static theories that study the unchanging beliefs of a certain agent and dynamic theories that investigate not only the constraints that can reasonably be imposed on the doxastic states of a rational agent but (...) also rationality constraints on the changes of doxastic state that may occur in such agents. An additional distinction is that between non-introspective theories and introspective ones. Non-introspective theories investigate agents that have opinions about the external world but no higher-order opinions about their own doxasticnstates. Standard AGM-type theories as well as the currently existing versions of Segerberg’s dynamic doxastic logic (DDL) are non-introspective. Hintikka-style doxastic logic is of course introspective but it is a static theory. Thus, the challenge remains to devise doxastic theories that are both dynamic and introspective. We outline the semantics for truly introspective dynamic doxastic logic, i.e., a dynamic doxastic logic that allows us to describe agents who have both the ability to form higher-order beliefs and to reflect upon and change their minds about their own (higher-order) beliefs. This extension of DDL demands that we give up the Preservation condition on revision. We make some suggestions as to how such a non-preservative revision operation can be constructed. We also consider extending DDL with conditionals satisfying the Ramsey test and show that Gärdenfors’ well-known impossibility result applies to such a framework. Also in this case, Preservation has to be given up. (shrink)

Abstract. Gettier’s famous examples intended to show that knowledge cannot always be equated with justified true belief. The Gettier problem can also be considered as a problem for topological epistemic logic: If knowledge and justified belief are conceived as topological operators K and B on topological spaces (to be considered as universes of possible worlds), one may ask whether it happens that there is a proposition A such that KA ≠ A & BA or not. If this is (...) the case, the epistemological logic defined by the topological operators K and B may be said to be non-traditional since there is for them a “Gettier proposition” where knowledge does not coincide with justified true belief. As far as we know, for the first time, this topological Gettier problem is discussed in Steinvold’s PhD dissertation (Steinsvold 2012). In Baltag, Bezhanishvili, Özgün, and Smets (2013), Steinvold’s co-derived set account is criticized since it can be easily “Gettierized”. Baltag et alii claim (without proof) that their topological account of Stalnaker’s logic KB of knowledge and belief does not have this flaw. In the following we will give some topological conditions that determine whether a topological KB model does or does not cope with the Gettier challenge. First, it will be shown that every KB model defines a (topologically slightly simplified) model that is rather similar to it but a is a model of traditional JTB (knowledge = justified true belief) logic of knowledge and belief. The existence of such doppelgangers of all KB models may be read as a qualified and partial topological rehabilitation of traditional JTB epistemology. Second, we consider the Gettier problem for a special class of models of Stalnaker’s combined logic of knowledge and belief KB, namely, for T0 Alexandroff spaces. We prove that, that almost all Alexandroff spaces do not face Gettier counterexamples. Third, we prove that the Stone spaces of Boolean algebras of regular closed subsets of Hausdorff (or T2) spaces X do not face Gettier counterexamples if the X are not pseu–docompact, and these Stone spaces do face Gettier counterexamples for compact spaces X. Succinctly formulated, Stalnaker’s KB logic of knowledge and belief can avoid Gettier problems for some models, while it falls back to traditional pre-Gettier JTB epistemology for other models. In contrast, co-derived set semantics is doomed to fail always in the sense that its models always fall prey to Gettier counterexamples. (shrink)

The science of operations research is one of the modern sciences that have made a great revolution in all areas of life through the methods provided by it, suitable and appropriate to solve most of the problems that were facing researchers, scholars and those interested in the development of societies, and the most beneficiaries of this science were companies and institutions that are looking for scientific methods that help them manage their work so that they achieve the greatest profit and (...) the lowest cost, and one of the important methods that have been used in the management of companies we offer in this research two methods, Dynamic programming method. This method has been used in many practical matters and helped decision-makers in companies to achieve a maximum profit and less cost by formulating the reality of the state of the company and the data provided by decision-makers with a dynamic mathematical model that is solved using methods of solving dynamic models and we will provide in this research an example of this through the issue of choosing the optimal investment for the budget of a company so that it achieves a maximum profit, and the method of programming with integers: the method that provided these companies with solutions with integer values suitable for the nature of its work, through the use of the binary integer in the formulation of the appropriate mathematical model on the one hand, and on the other hand, the use of the binary integer variable helped to convert some nonlinear models that lead to some practical problems into linear models, and it should be noted here that in the previous two methods there is something indeterminable because we must make a decision in choosing or not choosing something, but the optimal solution that we will get remains A specific value because we are building the mathematical model for any realistic issue through the data provided by those responsible for the work and these data are calculated quantities and therefore they are uncertain values because their validity depends on the circumstances surrounding the work environment, they may be exposed to increase or decrease, and therefore the optimal solution on which the company will base its decision is suitable for specific values and any change in them can cause the company an uncalculated loss, so in this research we will use the concepts of neutrosophic science, the branch of science founded by the American scientist Florentin Smarandache in 1995 based on his belief that there is no absolute truth, a science that is interested in the study of ideas and concepts that are neither true nor false, but just in between, and we will take the data (calculated quantities) neutrosophic values that are specified or unspecified values are any set close to the calculated quantities, then the resulting mathematical model is a neutrosophic model and the optimal solution has neutrosophic values and thanks to the indefinite uncertainty that these values have, companies from the development of appropriate plans for all circumstances and thus achieve the greatest profit and the lowest cost, and we will clarify the above through two issues, the issue of optimal designation of a warehouse site, which we will formulate the mathematical model of using the neutrosophic integer programming method - and the issue of capital budget, which we will present in two different forms, we use in the first form the neutrosophic integer programming method and in the second the neutrosophic dynamic programming method. (shrink)

Despite amendments to the sexual assault provisions in the Criminal Code, decisions about the availability and operation of the defence of belief in consent remain vulnerable to the influence of legally extraneous considerations. The author proposes an approach designed to limit the influence of such considerations.

In researching presuppositions dealing with logic and dynamic of belief we distinguish two related parts. The first part refers to presuppositions and logic, which is not necessarily involved with intentional operators. We are primarily concerned with classical, free and presuppositonal logic. Here, we practice a well known Strawson’s approach to the problem of presupposition in relation to classical logic. Further on in this work, free logic is used, especially Van Fraassen’s research of the role of presupposition in supervaluations logical (...) systems. At the end of the first part, presuppositional logic, advocated by S.K. Thomason, is taken into consideration. The second part refers to the presuppositions in relation to the logic of the dynamics of belief. Here the logic of belief change is taken into consideration and other epistemic notions with immanent mechanism for the presentation of the dynamics. Three representative and dominant approaches are evaluated. First, we deal with new, less classical, situation semantics. Besides Strawson’s theory, the second theory is the theory of the belief change, developed by Alchourron, Gärdenfors, and Makinson (AGM theory). At the end, the oldest, universal, and dominant approach is used, recognized as Hintikka’s approach to the analysis of epistemic notions. (shrink)

This paper presents a uniform semantic treatment of nonmonotonic inference operations that allow for inferences from infinite sets of premises. The semantics is formulated in terms of selection functions and is a generalization of the preferential semantics of Shoham (1987), (1988), Kraus, Lehman, and Magidor (1990) and Makinson (1989), (1993). A selection function picks out from a given set of possible states (worlds, situations, models) a subset consisting of those states that are, in some sense, the most preferred ones. A (...) proposition α is a nonmonotonic consequence of a set of propositions Γ iff α holds in all the most preferred Γ-states. In the literature on revealed preference theory, there are a number of well-known theorems concerning the representability of selection functions, satisfying certain properties, in terms of underlying preference relations. Such theorems are utilized here to give corresponding representation theorems for nonmonotonic inference operations. At the end of the paper, the connection between nonmonotonic inference and belief revision, in the sense of Alchourrón, Gärdenfors, and Makinson, is explored. In this connection, infinitary belief revision operations that allow for the revision of a theory with a possibly infinite set of propositions are introduced and characterized axiomatically. (shrink)

Abstract. Traditional epistemology of knowledge and belief can be succinctly characterized as JTB-epistemology, i.e., it is characterized by the thesis that knowledge is justified true belief. Since Gettier’s trail-blazing paper of 1963 this account has become under heavy attack. The aim of is paper is to study the Gettier problem and related issues in the framework of topological epistemic logic. It is shown that in the framework of topological epistemic logic Gettier situations necessarily occur for most topological models (...) of knowledge and belief. On the other hand, there exists a special class of topological models (based on so called nodec spaces) for which traditional JTB-epistemology is valid. Further, it is shown that for each topological model of Stalnaker’s combined logic KB of knowledge and belief a canonical JTB-model (its JTB-doppelganger) can be constructed that shares many structural properties with the original model but is free of Gettier situations. The topological model and its JTB-doppelganger both share the same justified belief operator and have very similar knowledge operators. Seen from a somewhat different perspective, the JTB-account of epistemology amounts to a simplification of a more general epistemological account of knowledge and belief that assumes that these two concepts may differ in some cases. The JTB-account of knowledge and belief assumes that the epistemic agent’s cognitive powers are rather large. Thereby in the JTB-epistemology Gettier cases do not occur. Eventually, it is shown that for all topological models of Stalnaker’s KB-logic Gettier situations are topologically characterized as nowhere dense situations. This entails that Gettier situations are epistemologically invisible in the sense that they can neither be known nor believed with justification with respect to the knowledge operator and the belief operator of the models involved. (shrink)

Findings from the cognitive sciences suggest that the cognitive mechanisms responsible for some memory errors are adaptive, bringing benefits to the organism. In this paper we argue that the same cognitive mechanisms also bring a suite of significant epistemic benefits, increasing the chance of an agent obtaining epistemic goods like true belief and knowledge. This result provides a significant challenge to the folk conception of memory beliefs that are false, according to which they are a sign of cognitive frailty, (...) indicating that a person is less reliable than others or their former self. Evidence of memory errors can undermine a person’s view of themselves as a competent epistemic agent, but we show that false memory beliefs can be the result of the ordinary operation of cognitive mechanisms found across the species, which bring substantial epistemic benefits. This challenge to the folk conception is not adequately captured by existing epistemological theories. However, it can be captured by the notion of epistemic innocence, which has previously been deployed to highlight how beliefs which have epistemic costs can also bring significant epistemic benefits. We therefore argue that the notion of epistemic innocence should be expanded so that it applies not just to beliefs but also to cognitive mechanisms. (shrink)

Recent work in cognitive science of religion (CSR) is beginning to converge on a very interesting thesis—that, given the ordinary features of human minds operating in typical human environments, we are naturally disposed to believe in the existence of gods, among other religious ideas (e.g., seeAtran [2002], Barrett [2004; 2012], Bering [2011], Boyer [2001], Guthrie [1993], McCauley [2011], Pyysiäinen [2004; 2009]). In this paper, we explore whether such a discovery ultimately helps or hurts the atheist position—whether, for example, it lends (...) credence to atheism by explaining away religious belief or whether it actually strengthens some already powerful arguments against atheism in the relevant philosophical literature.We argue that the recent discoveries of CSR hurt, not help, the atheist position—that CSR, if anything, should not give atheists epistemic assurance. (shrink)

In “Psychopower and Ordinary Madness” my ambition, as it relates to Bernard Stiegler’s recent literature, was twofold: 1) critiquing Stiegler’s work on exosomatization and artefactual posthumanism—or, more specifically, nonhumanism—to problematize approaches to media archaeology that rely upon technical exteriorization; 2) challenging how Stiegler engages with Giuseppe Longo and Francis Bailly’s conception of negative entropy. These efforts were directed by a prevalent techno-cultural qualifier: the rise of Synthetic Intelligence (including neural nets, deep learning, predictive processing and Bayesian models of cognition). This (...) paper continues this project but first directs a critical analytic lens at the Derridean practice of the ontologization of grammatization from which Stiegler emerges while also distinguishing how metalanguages operate in relation to object-oriented environmental interaction by way of inferentialism. Stalking continental (Kapp, Simondon, Leroi-Gourhan, etc.) and analytic traditions (e.g., Carnap, Chalmers, Clark, Sutton, Novaes, etc.), we move from artefacts to AI and Predictive Processing so as to link theories related to technicity with philosophy of mind. Simultaneously drawing forth Robert Brandom’s conceptualization of the roles that commitments play in retrospectively reconstructing the social experiences that lead to our endorsement(s) of norms, we compliment this account with Reza Negarestani’s deprivatized account of intelligence while analyzing the equipollent role between language and media (both digital and analog). (shrink)

Experimental work on free will typically relies on deterministic stimuli to elicit judgments of free will. We call this the Vignette-Judgment model. We outline a problem with research based on this model. It seems that people either fail to respond to the deterministic aspects of vignettes when making judgments or that their understanding of determinism differs from researcher expectations. We provide some empirical evidence for this claim. In the end, we argue that people seem to lack facility with the concept (...) of determinism, which calls into question the validity of experimental work operating under the Vignette-Judgment model. We also argue that alternative experimental paradigms are unlikely to elicit judgments that are philosophically relevant to questions about the metaphysics of free will. (shrink)

Moore’s Paradox is a test case for any formal theory of belief. In Knowledge and Belief, Hintikka developed a multimodal logic for statements that express sentences containing the epistemic notions of knowledge and belief. His account purports to offer an explanation of the paradox. In this paper I argue that Hintikka’s interpretation of one of the doxastic operators is philosophically problematic and leads to an unnecessarily strong logical system. I offer a weaker alternative that captures in a (...) more accurate way our logical intuitions about the notion of belief without sacrificing the possibility of providing an explanation for problematic cases such as Moore’s Paradox. (shrink)

This accessible essay treats knowledge and belief in a usable and applicable way. Many of its basic ideas have been developed recently in Corcoran-Hamid 2014: Investigating knowledge and opinion. The Road to Universal Logic. Vol. I. Arthur Buchsbaum and Arnold Koslow, Editors. Springer. Pp. 95-126. http://www.springer.com/birkhauser/mathematics/book/978-3-319-10192-7 .

In their 2020 International Religious Freedom Report, the United States Commission on International Religious Freedom (USCIRF) detailed the recognition processes for religious organisations by country. Although the dynamics of religious restriction were acknowledged, the data alone did not explicate the possible link between the abuse of recognition systems and issues such as religious freedom violations, forced migration, discrimination, and terrorism. This project is primarily concerned with how the legal apparatus of religious recognition could be abused by governments and why this (...) may be fundamental to the conditions of religious liberty. Religious recognition denotes the mechanism for the legal registration of religious institutions in a country; government recognition normally permits institutions to conduct commercial operations and religious services legally. (shrink)

This is the second part of a two-part series on the logic of hyperlogic, a formal system for regimenting metalogical claims in the object language (even within embedded environments). Part A provided a minimal logic for hyperlogic that is sound and complete over the class of all models. In this part, we extend these completeness results to stronger logics that are sound and complete over restricted classes of models. We also investigate the logic of hyperlogic when the language is enriched (...) with hyperintensional operators such as counterfactual conditionals and belief operators. (shrink)

The present paper wants to promote epistemic pluralism as an alternative view of non-classical logics. For this purpose, a bilateralist logic of acceptance and rejection is developed in order to make an important di erence between several concepts of epistemology, including information and justi cation. Moreover, the notion of disagreement corresponds to a set of epistemic oppositions between agents. The result is a non-standard theory of opposition for many-valued logics, rendering total and partial disagreement in terms of epistemic negation and (...) semi-negations. (shrink)

Self-control is the ability to inhibit temptations and persist in one’s decisions about what to do. In this article, we review recent evidence that suggests implicit beliefs about the process of self-control influence how the process operates. While earlier work focused on the moderating influence of willpower beliefs on depletion effects, we survey new directions in the field that emphasize how beliefs about the nature of self-control, self-control strategies, and their effectiveness have effects on downstream regulation and judgment. These new (...) directions highlight the need to better understand the role of self-control beliefs in naturalistic decision-making. (shrink)

A group is lying when it makes a statement that it believes to be untrue but wants the addressee(s) to believe. But how can we distinguish statements that the group believes to be untrue from honest group statements based on mistaken beliefs or confusion within the group? I will suggest a narrative constraint for honest group statements, made up of two components. Narrative coherence requires that a new group statement should not conflict with group knowledge on the matter, or beliefs (...) of relevant operative subgroups, unless a coherent rationale is given. Narrative intention looks at the process of gathering new evidence on the area of expertise of the group and requires that the group position behind the statement is formed in good faith. The narrative constraint will help to distinguish group lies from more innocent erroneous statements of group beliefs when there is an internal disagreement within the group, including in cases involving spokespersons. (shrink)

In forming groups—corporations, teams, academic departments, juries—humans gain new ways of acting in the world. Jennifer Lackey argues that groups need to be held responsible for their actions, and therefore need to be subject to epistemic evaluation. To criticize receptive or reckless behavior on the part of a corporation, for example, we need some account of what it is for a group to believe something, and for a group belief to be justified. In Lackey’s account, group epistemic states are (...) a function of the states of individual operative members. After raising some difficulties for her formulation of this function, this article raises questions about Lackey’s operative-member account can apply to new types of group agent, with a particular focus on the epistemic status of algorithmic systems that harvest human data. (shrink)

This article examines the operation of “reasonable steps” as a statutory standard for analysis of the availability of the defence of belief in consent in sexual assault cases and concludes that application of section 273.2(b) of the Criminal Code, as presently worded, often undermines the legal validity and correctness of decisions about whether the accused acted with mens rea, a guilty, blameworthy state of mind. When the conduct of an accused who is alleged to have made a mistake about (...) whether a complainant communicated consent is assessed by the hybrid subjective-objective reasonableness standard prescribed by s. 273.2, many decision-makers rely on extra-legal criteria and assumptions grounded on their personal experience and opinion about what is reasonable. In the midst of debate over what the accused knew and what steps were “reasonable” given what the accused knew, the legal definition of consent in section 273.1 is easily over-looked and decision-makers focus on facts that are legally irrelevant and prejudice rational deliberation. -/- That is precisely what we see here; the result is often failure to enforce the law. The author proposes: -/- (a) that section 273.2 be amended to reflect the significant developments achieved in sexual consent jurisprudence since enactment of the provision in 1992; and -/- (b) that, in the interim, the judiciary act with resolve to make full and proper use of the statutory and common law tools that are presently available to determine whether the accused acted with mens rea in relation to the absence of sexual consent. (shrink)

Perception is said to have assertoric force: It inclines the perceiver to believe its content. In contrast, perceptual imagination is commonly taken to be non-assertoric: Imagining winning a piano contest does not incline the imaginer to believe they actually won. However, abundant evidence from clinical and experimental psychology shows that imagination influences attitudes and behavior in ways similar to perceptual experiences. To account for these phenomena, I propose that perceptual imaginings have implicit assertoric force and put forth a theory—the Prima (...) Facie View—as a unified explanation for the empirical findings reviewed. According to this view, mental images are treated as percepts in operations involving associative memory. Finally, I address alternative explanations that could account for the reviewed empirical evidence—such as a Spinozian model of belief formation or Gendler’s notion of alief—as well as potential objections to the Prima Facie View. (shrink)

Revision operation is the consistent expansion of a theory by a new belief-representing sentence. We consider that in a paraconsistent setting this desideratum can be accomplished in at least three distinct ways: the output of a revision operation should be either non-trivial or non-contradictory (in general or relative to the new belief). In this paper those distinctions will be explored in the constructive level by showing how the remainder sets could be refined, capturing the key concepts of paraconsistency (...) in a dynamical scenario. These are preliminaries results of a wider project on Paraconsistent Belief Change conduced by the authors. (shrink)

We advocate and develop a states-based semantics for both nominal and adjectival confidence reports, as in "Ann is confident/has confidence that it's raining", and their comparatives "Ann is more confident/has more confidence that it's raining than that it's snowing". Other examples of adjectives that can report confidence include "sure" and "certain". Our account adapts Wellwood's account of adjectival comparatives in which the adjectives denote properties of states, and measure functions are introduced compositionally. We further explore the prospects of applying these (...) tools to the semantics of probability operators. We emphasize three desirable and novel features of our semantics: (i) probability claims only exploit qualitative resources unless there is explicit compositional pressure for quantitative resources; (ii) the semantics applies to both probabilistic adjectives (e.g., "likely") and probabilistic nouns (e.g., "probability"); (iii) the semantics can be combined with an account of belief reports that allows thinkers to have incoherent probabilistic beliefs (e.g. thinking that A & B is more likely than A) even while validating the relevant purely probabilistic claims (e.g. validating the claim that A & B is never more likely than A). Finally, we explore the interaction between confidence-reporting discourse (e.g., "I am confident that...") and belief-reports about probabilistic discourse (e.g.,"I think it's likely that.."). (shrink)

It has been an open question whether or not we can define a belief revision operation that is distinct from simple belief expansion using paraconsistent logic. In this paper, we investigate the possibility of meeting the challenge of defining a belief revision operation using the resources made available by the study of dynamic epistemic logic in the presence of paraconsistent logic. We will show that it is possible to define dynamic operations of belief revision in a (...) paraconsistent setting. (shrink)

This paper offers a new account of the epistemic significance of disagreement which is grounded in two assumptions; that knowledge is the norm of belief and, that the safety condition is a necessary condition for knowledge. These assumptions motivate a modal definition of epistemic peerhood, which is much easier to operate on than the more traditional definitions of epistemic peerhood. The modal account of the epistemic significance of disagreement yields plausible results regarding cases of disagreement. Furthermore, it is able (...) to tap into the intuitions that have motivated the conformist and the nonconformist positions and it locates a fruitful middle-ground between these two conflicting positions. It will be shown that the conformist is correct in that cases of real peer disagreement force us to suspend our judgment. The reason for this is that in cases of real peer disagreement our beliefs fail to be safe. The nonconformist, on the other hand, is right in that disagreement in itself does not have any epistemic power. It is only by the grace of nature that we gain knowledge. The fact that someone disagrees with you does not mean that you do not have knowledge. (shrink)

In this paper I develop a new account of the philosophical motivations for Descartes’s theory of judgment. The theory needs explanation because the idea that judgment, or belief, is an operation of the will seems problematic at best, and Descartes does not make clear why he adopted what, at the time, was a novel view. I argue that attending to Descartes’s conception of the will as the active, free faculty of mind reveals that a general concern with responsibility motivates (...) his theory of judgment. My account avoids some unappealing features of the standard interpretation, renders the theory more plausible than many have suggested, and explains why his theory does not fall neatly into any current-day position on the issue of the control we have over belief. (shrink)

This work treats the correlative concepts knowledge and opinion, in various senses. In all senses of ‘knowledge’ and ‘opinion’, a belief known to be true is knowledge; a belief not known to be true is opinion. In this sense of ‘belief’, a belief is a proposition thought to be true—perhaps, but not necessarily, known to be true. All knowledge is truth. Some but not all opinion is truth. Every proposition known to be true is believed to (...) be true. Some but not every proposition believed to be true is known to be true. Our focus is thus on propositional belief (“belief-that”): the combination of propositional knowledge (“knowledge-that”) and propositional opinion (“opinion-that”). Each of a person’s beliefs, whether knowledge or opinion, is the end result of a particular thought process that continued during a particular time interval and ended at a particular time with a conclusive act—a judgment that something is the case. This work is mainly about beliefs in substantive informative propositions—not empty tautologies. We also treat objectual knowledge (knowledge of objects in the broadest sense, or “knowledge-of”), operational knowledge (abilities and skills, “knowledge-how-to”, or “know-how”), and expert knowledge (expertise). Most points made in this work have been made by previous writers, but to the best of our knowledge, they have never before been collected into a coherent work accessible to a wide audience. -/- Key words: belief, knowledge/opinion, propositional, operational, objectual, cognition, . (shrink)

Scott Soames has recently argued that traditional accounts of propositions as n-tuples or sets of objects and properties or functions from worlds to extensions cannot adequately explain how these abstract entities come to represent the world. Soames’ new cognitive theory solves this problem by taking propositions to be derived from agents representing the world to be a certain way. Agents represent the world to be a certain way, for example, when they engage in the cognitive act of predicating, or cognizing, (...) an act that takes place during cognitive events, such as perceiving, believing, judging and asserting. On the cognitive theory, propositions just are act types involving the act of predicating and certain other mental operations. This theory, Soames argues, solves not only the problem of how propositions come to represent but also a number of other difficulties for traditional theories, including the problem of de se propositions and the problems of accounting for how agents are capable of grasping propositions and how they come to stand in the relation of expression to sentences. I argue here that Soames’ particular version of the cognitive theory makes two problematic assumptions about cognitive operations and the contents of proper names. I then briefly examine what can count as evidence for the nature of the constituents of the cognitive operation types that produce propositions and argue that the common nature of cognitive operations and what they operate on ought to be determined empirically in cross-disciplinary work. I conclude by offering a semantics for cognitive act types that accommodates one type of empirical evidence. (shrink)